Gate have taken just one point from their last six Hallmark Security League games after surrendering a 2-1 lead in Manchester.
The visitors has the first chance, when a clearance by the home keeper found Charlie Waters, who beat his man but put too much weight on his cross.
The impressive Johnathon Hardy fired over for the hosts on six minutes as Gate found themselves outnumbered in midfield and struggled to contain Abbey’s overlapping wing-backs.
Abbey took the lead on 24 minutes, when they counter-attacked at devastating pace after Joe Noblet’s free-kick for Gate had been blocked. Rio Murray burst into Gate’s box and poked the ball under onrushing keeper Andy Speight.
Abbey deserved their lead and with better finishing could have been further ahead by half-time.
Tarran Moxon was introduced as Gate matched the Abbey formation for the second half and they were level within two minutes, Noblet confidently scoring a penalty after a foul on Ben Seear.
Moxon offered Gate an outlet with his movement up top and he was well placed to give Gate the lead on 58 minutes, finishing a move involving the other members of their front three, Waters and Seydou Bamba.
However, the lead lasted only five minutes until Hardy scrambled home a corner at the back post.
The momentum was with Abbey, who scored the winner on 79 minutes, when James Moore was allowed too much room on the edge of the box to fire low into the corner.
The win lifts Abbey Hey into the premier division’s top 10 while Gate remain 16th and in need of points ahead of tomorrow’s home clash with Winsford.
GATE: Speight, Carroll, Penswick, Alexander, Higham, Waters, Hall, Rothwell, B.Seear, Noblet, Bamba. Subs: Richards, Moorhead, Smith, Moxon.